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Simplifying 4(4x + -3) + -6x = 12 + -12 + -2x Reorder the terms: 4(-3 + 4x) + -6x = 12 + -12 + -2x (-3 * 4 + 4x * 4) + -6x = 12 + -12 + -2x (-12 + 16x) + -6x = 12 + -12 + -2x Combine like terms: 16x + -6x = 10x -12 + 10x = 12 + -12 + -2x Combine like terms: 12 + -12 = 0 -12 + 10x = 0 + -2x -12 + 10x = -2x Solving -12 + 10x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 10x + 2x = -2x + 2x Combine like terms: 10x + 2x = 12x -12 + 12x = -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 12x = 0 Add '12' to each side of the equation. -12 + 12 + 12x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 0 + 12 12x = 0 + 12 Combine like terms: 0 + 12 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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